Search a number
-
+
379681000 = 2353379681
BaseRepresentation
bin10110101000010…
…111100011101000
3222110102210102021
4112220113203220
51234144243000
6101401514224
712260143456
oct2650274350
9873383367
10379681000
11185357a56
12a71a2974
1360878c1a
14385d59d6
15234ed11a
hex16a178e8

379681000 has 32 divisors (see below), whose sum is σ = 888455880. Its totient is φ = 151872000.

The previous prime is 379680997. The next prime is 379681037. The reversal of 379681000 is 186973.

It can be written as a sum of positive squares in 4 ways, for example, as 247936516 + 131744484 = 15746^2 + 11478^2 .

It is a super-2 number, since 2×3796810002 = 288315323522000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188841 + ... + 190840.

Almost surely, 2379681000 is an apocalyptic number.

It is an amenable number.

379681000 is an abundant number, since it is smaller than the sum of its proper divisors (508774880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379681000 is a wasteful number, since it uses less digits than its factorization.

379681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379702 (or 379688 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 379681000 is about 19485.4047943583. The cubic root of 379681000 is about 724.1129062950.

The spelling of 379681000 in words is "three hundred seventy-nine million, six hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 379681 759362 1518724 1898405 3037448 3796810 7593620 9492025 15187240 18984050 37968100 47460125 75936200 94920250 189840500 379681000